I think I'll just tell you what I have always believed and see where that goes.
It is my belief that God expects absolute perfection in order to be rightious. Since we have no hope of coming anywhere near perfection we are lost and are deserving of hell.
The Law as well as the entire record in the books if the OT are a teaching tool, emphasizing our need for a Savior, as well as a record of God telling us how He will make a way for our relationshop with Him to be restored.
So, when Jesus came He fulfilled the heavy burden of the Law so that we are free and with the indwelling of The Holy Ghost, we live by faith, not by deed, as in keeping laws. He has written them in our hearts where He obides and we are given a new heart that desires to please Him.
I don't see keeping a law as being good works because Jesus did that for us.
Our works are what we do to spread the good news that Jesus saves.
If course my post is a very brief summary of my faith.
Is it your belief that God can do anything except cause His people to become perfectly obedient? The law requires obedience and God is perfectly capable of causing us to obey the law and thereby meet is righteous requirement (Romans 8:4). When He who began a good work in us is faithful to complete on the day of Messiah, we will be made to do what is perfect (Philippians 1:6) and our sanctification is about being made to be perfect like Messiah.
There are many people in the Bible who were described as righteous, such a Noah, Zechariah, and Elizabeth:
Genesis 6:9 These are the generations of Noah. Noah was a righteous man, blameless in his generation. Noah walked with God.
Luke 1:5-6 In the days of Herod, king of Judea, there was a priest named Zechariah,[a] of the division of Abijah. And he had a wife from the daughters of Aaron, and her name was Elizabeth. 6 And they were both righteous before God, walking blamelessly in all the commandments and statutes of the Lord.
I do not see any support in the Bible that God expects absolute perfection in order to become righteous. Furthermore, if your belief is true, and Noah, Zechariah, and Elizabeth are righteous, then Romans 3:23 is false and it is not the case that all have sinned and fallen short of the glory of God. However, being blameless is not the same thing being sinless, but rather it refers to someone who has had their sins forgiven. The one and only way to become righteous has always been by faith and God has always wanted a relationship with His people based on faith.
Is it your understanding that living by faith means to live in some manner other than God has commanded, where we do not depend on Him for instructions for how to live? It doesn't make any sense to me to say that God's law points out our need for a Savior, but then you don't believe that our Savior saves us from doing what the law pointed out we needed him for. Our salvation is from sin so our Savior needs to save us from doing that the things that God has revealed in His law are sin. The Spirit also has the role of leading us in obedience to God's commands:
Ezekiel 36:26-27 And I will give you a new heart, and a new spirit I will put within you. And I will remove the heart of stone from your flesh and give you a heart of flesh. 27 And I will put my Spirit within you, and cause you to walk in my statutes and be careful to obey my rules.
God takes away our heart of stone and gives us a heart of flesh so that we will obey His commands, not so that we will be free from having to obey them. In Deuteronomy 30:11, God said that what He had commanded was not too difficult and in 1 John 5:3, it confirms that the commands of God are not burdensome. The problem was not that God's law is hard, but that our hearts are hard, so God is giving us a heart of flesh so that we will obey it. Furthermore, you do not delight in a heavy burden as Paul and David did (Romans 7:22, Psalms 1:1-2), but rather God's law is the good way where we will find rest for our souls:
Jeremiah 6:16-19 Thus says the Lord: “Stand by the roads, and look, and ask for the ancient paths, where the good way is; and walk in it, and find rest for your souls. But they said, ‘We will not walk in it.’ 17 I set watchmen over you, saying, ‘Pay attention to the sound of the trumpet!’ But they said, ‘We will not pay attention.’ 18 Therefore hear, O nations, and know, O congregation, what will happen to them. 19 Hear, O earth; behold, I am bringing disaster upon this people, the fruit of their devices, because they have not paid attention to my words; and as for my law, they have rejected it.
I don't see keeping a law as being good works because Jesus did that for us.
Jesus summarized the law as being instructions for how to love God and how to love our neighbor, so saying that Jesus obeyed the law so we don't have to is like saying that he loved God and others so that we don't have to.